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1220286852 = 2232314359431
BaseRepresentation
bin100100010111100…
…0001100110000100
310011001011222212100
41020233001212010
54444343134402
6321030552100
742145160421
oct11057014604
93131158770
101220286852
11576902634
122a0808630
13165a78335
14b80d0d48
15721e671c
hex48bc1984

1220286852 has 144 divisors (see below), whose sum is σ = 3321077760. Its totient is φ = 377092800.

The previous prime is 1220286841. The next prime is 1220286857. The reversal of 1220286852 is 2586820221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1220286857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831077 + ... + 2831507.

It is an arithmetic number, because the mean of its divisors is an integer number (23063040).

Almost surely, 21220286852 is an apocalyptic number.

1220286852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220286852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660538880).

1220286852 is an abundant number, since it is smaller than the sum of its proper divisors (2100790908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1220286852 is a wasteful number, since it uses less digits than its factorization.

1220286852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1220286852 is about 34932.6044262377. The cubic root of 1220286852 is about 1068.6134694578.

The spelling of 1220286852 in words is "one billion, two hundred twenty million, two hundred eighty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 59 62 86 93 118 124 129 172 177 186 236 258 279 354 372 387 431 516 531 558 708 774 862 1062 1116 1293 1333 1548 1724 1829 2124 2537 2586 2666 3658 3879 3999 5074 5172 5332 5487 7316 7611 7758 7998 10148 10974 11997 13361 15222 15516 15996 16461 18533 21948 22833 23994 25429 26722 30444 32922 37066 40083 45666 47988 50858 53444 55599 65844 74132 76287 78647 80166 91332 101716 111198 120249 152574 157294 160332 166797 222396 228861 235941 240498 305148 314588 333594 457722 471882 480996 574523 667188 707823 788299 915444 943764 1093447 1149046 1415646 1576598 1723569 2186894 2298092 2364897 2831292 3153196 3280341 3447138 4373788 4729794 5170707 6560682 6894276 7094691 9459588 9841023 10341414 13121364 14189382 19682046 20682828 28378764 33896857 39364092 67793714 101690571 135587428 203381142 305071713 406762284 610143426 1220286852